Alternating Direction Method for a Class of Sylvester Matrix Equations with Linear Matrix Inequality Constraint (Q4639200)

scientific article; zbMATH DE number 6866002

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English	Alternating Direction Method for a Class of Sylvester Matrix Equations with Linear Matrix Inequality Constraint	scientific article; zbMATH DE number 6866002

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instance of

scholarly article

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title

Alternating Direction Method for a Class of Sylvester Matrix Equations with Linear Matrix Inequality Constraint (English)

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Numerical Functional Analysis and Optimization

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publication date

3 May 2018

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zbMATH Keywords

alternating direction method

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convergence analysis

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linear matrix inequality constraint

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numerical experiment

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Sylvester matrix equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/01630563.2017.1349795

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cites work

Q4001523

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On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems of Equations

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Singular value and generalized singular value decompositions and the solution of linear matrix equations

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Positive solutions to the equations $AX=C$ and $XB=D$ for Hilbert space operators

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Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming

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Q3038523

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Multiplier and gradient methods

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The generalized bisymmetric (bi-skew-symmetric) solutions of a class of matrix equations and its least squares problem

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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The generalized anti-reflexive solutions for a class of matrix equations $(BX=C,XD=E)$

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The generalized reflexive solution for a class of matrix equations $ (AX=B, XC=D)$

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Least-squares solution with the minimum-norm for the matrix equation $(A\times B,G\times H) = (C,D)$

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Q5677596

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The matrix equations $AX=C$, $XB=D$

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A pair of simultaneous linear matrix equations $A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2$ and a matrix programming problem

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A representation of the general common solution to the matrix equations $A_1XB_1=C_1$ and $A_2XB_2=C_2$ with applications

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Introductory lectures on convex optimization. A basic course.

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A common solution to a pair of linear matrix equations over a principal ideal domain

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The Solutions of Matrix Equation $AX=B$ Over a Matrix Inequality Constraint

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Q5590418

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The matrix equations $AX=B, XC=D$ with $PX= sXP$ constraint

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Q5645536

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The minimal rank of the matrix expression $A-BX-YC$

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Constrained solutions of a system of matrix equations

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An alternating direction algorithm for matrix completion with nonnegative factors

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Identifiers

zbMATH Open document ID

1392.65058

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DOI

10.1080/01630563.2017.1349795

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4639200